1) A university dean is interested in determining the proportion of students who receive some sort of financial aid. The dean randomly selects 200 students and finds that 119 of them are receiving financial aid. A 90% confidence interval to estimate the true proportion of students on financial aid is closest to

Group of answer choices

A) (0.519, 0.661)

B) (0.522, 0.618)

C) (0.544, 0.619)

D) (0.533, 0.647)

E) (0.545, 0.635)

2)

A company has a large number of employees around the world. Suppose their employees' average salary is $40,000 and the standard deviation is $10,000. A random sample of 400 employees is selected.

Let the sample average be X . Which one of the following statements best describes X ?

Group of answer choices

A) X follows an exact normal distribution with mean $40,000 and standard deviation $10,000.

B) X follows approximately a normal distribution with mean $40,000 and standard deviation $500.

C) The mean and standard deviation of X are $40,000 and $10,000 respectively.

D) X follows approximately a normal distribution with mean $40,000 and standard deviation $10,000.

E) X follows an exact normal distribution with mean $40,000 and standard deviation $50

3) The manager of a supermarket wants to obtain information about the proportion of customers who dislike a new policy on cashing cheques.

Suppose the manager samples 50 customers and if the true proportion of customers who dislike the policy is approximately 90%. The probability that more than 46 customers in the sample will dislike the policy is

Group of answer choices

A) less than 0.2

B) between 0.6 and 0.8

C) over 0.8

D) between 0.2 and 0.4

E) between 0.4 and 0.6